Question

Navin is 4 years elder to Ajay . After 10 years , the ratio of the ages of Navin and Ajay is 10 : 9 Find Ajay's present age .​

Answer 1

Answer:

⠀⠀ ☯ Let's consider that the present age of Ajay be x.

And, Navin is 4 years elder to Ajay.

⠀⠀⠀

$:\implies\sf Navin = (x + 4)$

⠀⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀⠀

⠀$\large\sf\underline{\bigstar\; According \ to \ Question\;:}$

⠀⠀⠀⠀After 10 years, the ratio of the ages of Navin and Ajay is 10 : 9.

⠀⠀⠀⠀⠀⠀

Therefore,

⠀⠀⠀⠀⠀⠀

$:\implies\sf \dfrac{(x + 4) + 10}{x + 10} = \dfrac{10}{9} \\\\\\:\implies\sf (x + 14)9 = 10x + 100 \\\\\\:\implies\sf 9x + 126 = 10x + 100\\\\\\:\implies\sf 126 - 100 = 10x - 9x\\\\\\:\implies{\boxed{\boxed{\frak{\pink{x = 26}}}}}$

⠀⠀⠀⠀⠀⠀⠀⠀

Now,

Ajay's age, x = 26

Navin's age, (x + 4) = 26 + 4 = 30

⠀⠀⠀⠀⠀⠀

$\therefore\:{\underline{\sf{Present \ Age \ of \ Ajay \ is \ {\textsf{\textbf{26 years.}}}.}}}$⠀⠀⠀

Answer 2

Answer:

Refer to the attachment